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Nonlinear Systems of Fractional Differential Equations


Nonlinear Systems of Fractional Differential Equations



von: Bashir Ahmad, Sotiris K. Ntouyas

171,19 €

Verlag: Springer
Format: PDF
Veröffentl.: 30.07.2024
ISBN/EAN: 9783031625138
Sprache: englisch

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Beschreibungen

<p>This book studies the theoretical aspects for a variety of coupled fractional&nbsp;differential systems involving Riemann-Liouville, Caputo,&nbsp;ψ-Riemann--Liouville, Hilfer, ψ--Hilfer, Hadamard, Hilfer--Hadamard, Erdelyi--Kober,&nbsp;(k, ψ)-Hilfer, generalized, Proportional, ψ-Proportional, Hilfer--proportional, ψ-Hilfer--proportional&nbsp;type fractional derivative operators, subject to different types of nonlocal&nbsp;boundary conditions. The topic of fractional differential&nbsp;systems is one of the hot and important topics of research as such systems appear in&nbsp;the mathematical modeling of physical and technical phenomena. &nbsp;&nbsp;As the book contains some recent new work on the existence&nbsp;theory for nonlocal boundary value problems of fractional differential systems,&nbsp;it is expected that it will attract the attention of researchers, modelers and&nbsp;graduate students who are interested in doing their research on fractional&nbsp;differential systems.&nbsp;&nbsp;</p>

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<p>Preliminaries.- Coupled Multi–Point fractional differential systems.- Systems of Caputo type sequential fractional differential equations.-&nbsp;A coupled nonlocal system of three fractional differential equations.-&nbsp;Nonlocal coupled systems of fractional differential equations.-&nbsp;Coupled systems of nonlinear multi-term fractional differential equations.-&nbsp;Nonlinear mixed-order coupled fractional differential systems.-&nbsp;Systems of Hilfer type fractional differential equations.-&nbsp;Coupled systems of sequential Caputo and Hadamard fractional&nbsp;differential equations.-&nbsp;Systems of fractional Langevin equations with boundary conditions.-&nbsp;A system of nonlocal Erd´elyi-Kober fractional differential equations.-&nbsp;Positive solutions for fractional differential systems.-&nbsp;A Langevin-type 𝒒-variant system.-&nbsp;A coupled system of fractional 𝒒-integro-difference equations.</p>
<p><strong>Bashir Ahmad&nbsp;</strong>is Full Professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. He received his Ph.D. degree from Quaid-i-Azam University, Islamabad, Pakistan in 1995.&nbsp;His research interest includes existence theory and approximate/numerical methods for nonlinear boundary value problems involving a variety of differential equations, and applied mathematics.&nbsp;He was honored with “Best Researcher of King Abdulaziz University” award in 2009. He supervised several Ph.D. and M.Phil./M.Sc. students. He has published 6 books and more than 745&nbsp;research articles in JCR journals. His H-index is 65.&nbsp;&nbsp;He is the Managing Editor of Bulletin of Mathematical Sciences and member of editorial boards of several journals. He has been&nbsp;“Highly Cited Researcher” in the category of Mathematics from 2014 to 2019 (Clarivate Analytics Database).&nbsp;&nbsp;He was the top 1% of reviewers in Mathematics on Publons for the 2018 and 2019&nbsp;global Peer Review Awards. He was included in the World's Top 2% Researchers Database by Stanford University from 2019 to 2023.&nbsp;</p>

<p><strong>Sotiris K. Ntouyas</strong>&nbsp;is Professor Emeritus in the Department of Mathematics of the University of Ioannina, Greece. He received his BS degree and PhD from the University of Ioannina, in 1972 and 1980, respectively.&nbsp;His research interests include initial and boundary value problems for differential equations and inclusions, inequalities, asymptotic behavior and controllability. More than 800 of his papers have appeared in refereed journals.&nbsp;He is the co-author of five books. He is a member of 21 international journals’ Editorial Boards, and a reviewer for many international journals. He appears in the 2018 list, published by Clarivate Analytics, of Highly Cited Researchers,&nbsp;and appears in the World's Top 2% &nbsp; Researcher lists 2019-2023 of Stanford University Database.</p>
<p>This book studies the theoretical aspects for a variety of coupled fractional&nbsp;differential systems involving Riemann-Liouville, Caputo,&nbsp;ψ-Riemann--Liouville, Hilfer, ψ--Hilfer, Hadamard, Hilfer--Hadamard, Erdelyi--Kober,&nbsp;(k, ψ)-Hilfer, generalized, Proportional, ψ-Proportional, Hilfer--proportional, ψ-Hilfer--proportional&nbsp;type fractional derivative operators, subject to different types of nonlocal&nbsp;boundary conditions. The topic of fractional differential&nbsp;systems is one of the hot and important topics of research as such systems appear in&nbsp;the mathematical modeling of physical and technical phenomena. &nbsp;&nbsp;As the book contains some recent new work on the existence&nbsp;theory for nonlocal boundary value problems of fractional differential systems,&nbsp;it is expected that it will attract the attention of researchers, modelers and&nbsp;graduate students who are interested in doing their research on fractional&nbsp;differential systems.&nbsp;</p>

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Serves as a reference book for graduate/postgraduate research students to design new research projects The primary audience includes researchers, mathematicians, modelers, and graduate students Studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville

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